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Homework Statement
decide if sqrt2 + sqrt5 +sqrt7 is rational or irrational, with proof
Homework Equations
The Attempt at a Solution
i assumed that it was rational, the equation =r
sqrt2 + sqrt 5=r- sqrt7
7 + 2sqrt10=r^2 + 7 -2r*sqrt7
2sqrt10=r^2 -2r*sqrt7
could i have a hint on how to rearrange this, i have already proved in an earlier question that sqrt2, sqrt5, sqrt7 are irrational
thankyou